3 1 Inequalities and Their Graphs Today you

3. 1 Inequalities and Their Graphs Today you will learn to write and graph inequalities.

Quick Review 1. Name each inequality < > Less Than Greater Than ≤ Less Than 2. Fill in the correct inequality or equal to < 7 > -3 a. 5 __ b. 0 __ < -1 < -0. 01 c. -4 __ d. -0. 1 __ 3. Graph each number on the number line: a. 0 b. 4 c. -2 0 ≥ Greater Than or equal to

Inequality Symbols Symbol Vocabulary Graphed OPEN CLOSE Reminder: • The “Equal To” part fills in the dot…

Open or Solid? Tell whether the following is an open dot or close dot: OPEN 1. x > 7 CLOSE 2. x - 1 ≤ 23 OPEN 3. 5 y < -3 OPEN 4. -2 x + 3 > -5 CLOSE 5. -8 ≥ -y – 4

Graphing Inequalities 6. Graph n > -2 7. Graph 4 ≤ m 8. Graph a < 1 9. Graph y ≥ -3 0 0

Writing an Inequality Write an inequality for each graph 10. 0 x>2 11. 0 x≤ 0 12. 0 x≥ 1 13. 0 x < -3

Writing Inequalities Write an inequality for each verbal phrase 14. b is less than or equal to -1 b ≤ -1 15. 2 more than k is greater than -3 k + 2 > -3 16. The product of g and 2 is less than 6. 2 g < 6

Mental Math 17. Is each number a solution of x ≤ 7? a. 9 No b. Yes 18. Is each number a solution of x > -4. 1? a. -5 No b. -4. 1 No c. 8 Yes d. 0 Yes

Think-Pair-Share Identifying Solutions by Evaluating 19. Is each number a solution of 2 – 5 x > 13? a. -4 Yes b. 3 No 20. Is each number a solution of 6 x – 3 > 10? a. 1 No b. 2 No c. 3 Yes d. 4 Yes

Think-Pair-Share Write an inequality to model each situation. 1. The school auditorium can seat at most 1200 people. 2. For a certain swim meet, a competitor must swim faster than 23 seconds to qualify. Write each inequality in words, then graph. 3. -2 ≤ n 4. x > 7 5. 16 < y